Search a number
-
+
72442448 = 2413379413
BaseRepresentation
bin1000101000101…
…10001001010000
312001022110100122
410110112021100
5122021124243
611104405412
71536515321
oct424261120
9161273318
1072442448
113798a0a1
1220316868
1312015470
14989a448
15655e668
hex4516250

72442448 has 40 divisors (see below), whose sum is σ = 155255688. Its totient is φ = 32527872.

The previous prime is 72442427. The next prime is 72442453. The reversal of 72442448 is 84424427.

It can be written as a sum of positive squares in 4 ways, for example, as 37063744 + 35378704 = 6088^2 + 5948^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2990 + ... + 12402.

Almost surely, 272442448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72442448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77627844).

72442448 is an abundant number, since it is smaller than the sum of its proper divisors (82813240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72442448 is a wasteful number, since it uses less digits than its factorization.

72442448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471 (or 9465 counting only the distinct ones).

The product of its digits is 57344, while the sum is 35.

The square root of 72442448 is about 8511.3129421964. The cubic root of 72442448 is about 416.8671814275.

The spelling of 72442448 in words is "seventy-two million, four hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 9413 18826 37652 75304 122369 150608 244738 348281 489476 696562 978952 1393124 1957904 2786248 4527653 5572496 9055306 18110612 36221224 72442448